The probability that random positive integers are k-wise relatively prime

Abstract

An s-tuple of positive integers are k-wise relatively prime if any k of them are relatively prime. Exact formula is obtained for the probability that s positive integers are k-wise relatively prime.

Cited by in corpus (3)

• On the least common multiple of several random integers
• Counting $r$-tuples of positive integers with $k$-wise relatively prime components
• On the reciprocal sum of lcm of k-tuples